Algebra 1 Fall Final Exam Review
1. Five times the sum of r and j.
a. 5r + j
b. 5(r + j)
c. 5 + r + j
d. 5rj
2. Evaluate the expression (ab)2 for a = 10 and b = 3.
a. 90
b. 900
c. 81
d. 60
c. 7
d. -9
3. Evaluate |-x – 2y| for x = 1 and y = -4.
a. 9
4. 
b. -7
2 3

7 8
a.
1
3
b. 
2
7
c.
37
56
d. 
37
56
5. -64
a. 1,296
6.
b. 216
c. 24
d. -1,296
b. 72m + 36
c. 18m + 144
d. 18m + 48
b. -3 – c
c. 3 – c
d. 3 + c
b. -10.92
c. 10.92
d. -1.66
b. 36
c. 18
d. 9
b. 80
c. 128
d. 92
b. -72
c. 72
d. -36
3
(24m  48)
4
a. 18m + 36
7. –(-3 – c)
a. -3 + c
8. 1.3 – 3.7 – 4.63 + 1.7 – 5.59
a. -14.32
9. 3[(15 – 3)2 ÷ 4]
a. 108
10. 4(20 + 12) ÷ (4 – 3)
a. 29
11.
( 9)( 8)
( 2 )
a. 36
5 3 5
12. Write  , , in order from least to greatest.
8 5 7
5 5 3
a.  , ,
7 8 5
b.
3 5 5
, ,
5 7 8
5 3 5
c.  , ,
8 5 7
5 5 3
d.  , ,
8 7 5
13. A mountain climber ascends a mountain to its peak. The peak is 12,030 ft. above sea level. The climber
then descends 490 ft. to meet a fellow climber. Find the climber’s elevation above sea level after meeting the
other climber.
a. -11,540 ft.
b. 12,520 ft.
c. 11,540 ft.
d. 7, 130 ft.
c. 3
d. 7
14. Evaluate b – 2a – c for a = 2, b = 9, and c = -2.
a. 11
b. -4
15. Name the property illustrated by 6 
1 1
 6
5 5
a. Commutative Property of Addition
c. Associative Property of Addition
b. Inverse Property of Addition
d. Inverse Property of Multiplication
16. Solve 4 = m – 3
a. 1
b. -1
c. -7
d. 7
b. -5
c. 8
d. 5
b. -14
c. -10
d. -29
b. -2
c. 1
d. 0
17. Solve 40 – 17 + 6k = 53
a. 4
3p
 13  7
7
18. Solve
a.
140
2
or 46
3
3
19. Solve 2x – 9 = 3x – 7
a. -5
20. Solve 6d – 3d + 3d – 6 = 5d
a. 7
21. Solve
6
5
b. 6
c.
b. 13
c. 81
d.
6
11
3
x  27
8
a. 65
d. 72
x
4
8
22. Solve -6 =
a. -80
b. 16
c. -16
d. 1.8
b. -4
c. 4
d. 6
b. 3
c. 4.8
d. 7.2
23. Solve 11 = -d + 15
a. 11
24. 4.9x + 4.4 = 19.1
a. 4
25. A customer went to a garden shop and bought some potting soil for $14 and 6 shrubs. The total bill was
$78.50. Write and solve an equation to find the price of each shrub.
a. 6p + $14.00 = $78.50; p = $12.00
c. 6(p + $14.00) = $78.50; p = $6.75
b. 6p + $14.00 = $78.50; p = $10.75
d. 6p + 14p = $78.50; p = $3.93
26. Solve for h: V = lwh
a. h = V(lw)
b. h =
V
lw
c. h =
V
wh
b. x =
g
- fy
d
c. x = d(g – fy)
b. z =
w
xy
c. z =
d. h = V - lw
27. Solve for x: dx + fy = g
a. dx = g – fy
28. Solve for z:
a. z =
xy
w
g  fy
d
d. z =
wy
x
w y

x z
29. What number is a solution to m >
a. -1
d. x =
x
yw
1
?
2
b. -7
c. 2
d. 0
30. What number is a solution to 3x – 15 ≥ 3?
a. 
9
11
b. 5
c.
6
11
d. 6
31. Write an inequality that matches the number line.
-10 -9
a. m ≤ 
-8
-7
7
2
-5 -4
-6
b. m ≥
-3 -2 -1
7
2
0
1
2
3
4
5
7
2
c. m > 
6
7
9
8
d. m ≥ 
10
7
2
32. Tina can type at least 45 words per minute. Write and graph an inequality to model this situation.
a. t < 45
b. t > 45
44
45
46
44
45
46
c. t ≥ 45
44
45
46
44
45
46
d. t ≤ 45
33. Solve AND graph the solution to x – 7 ≤-12
b. x ≤ 
a. x ≤ -19
-20
-19
-18
c. x ≤ -5
12
7
-1
-2
0
d. x ≤ 19
-6
-5
-4
18
19
20
-6
-5
-4
4
5
6
34. Solve AND graph the solution to x – 3 ≤ 2
a. x ≤ -6
c. x ≤ -1
b. x ≤ -5
-7
-6
-5
-2
-1
0
d. x ≤ 5
35. Solve AND graph the solution to 
x
≤1
6
a. x ≤ 7
b. x ≤ -6
6
7
8
c. x ≥ 6
5
6
36. Solve AND graph the solution to
a. v <
20
63
c. v < 5
-6
-7
-5
d. x ≥ -6
7
4
0
5
-5
7
2
v
10
9
b. v <
-1
-6
-7
1
6
7
45
d. v < 
0
-1
43
90
1
0
-1
1
37. Solve AND graph the solution to 6x ≥ 12
b. x ≥ 2
a. x > 6
5
6
7
c. x ≥ -6
1
2
1
2
3
d. x ≤ 2
-7
-6
-5
3
38. Solve AND graph the solution to -11 < 4x – 3 < 1
1
1
a.  3 < x < 
2
2
b. -18< x < -6
-12
-18
-2
-4
c. -12 < x < 0
d. -2 < x < 1
-6
-12
-6
0
0
-1
-2
0
1
39. Solve AND graph the solution to |5x + 10| < 25
a.  3 < x < 3
b. -7 < x < 3
-2
-7
0
-4
c. -40 < x < 10
d. -7 > x > 3
-20
-40
3
4
0
-2
-7
3
1
40. Solve AND graph the solution to  h  7
3
b. h ≥  2
a. h ≥ -21
c. h ≤ 7
1
3
-22
-21
-20
6
7
8
1
3
-3
-2
-1
d. h ≤ -21
-22
-21
-20
41. Solve 4(a – 2) > 24
a. a < 26
b. a > 26
c. a > 6
d. a > 8
c. a < -16
d. a > 32
42. Solve a + 8 – 2(a – 12) > 0
a. a < 32
b. a > -16
43. A 16-oz bottle of water costs $1.12. What is the cost per ounce?
a. $0.07/oz
b. $0.70/oz
c. $0.23/oz
d. $2.29/oz
44. A van travels 220 miles on 11 gallons of gas. Write and solve a proportion to find how many gallons the
van needs to travel 380 miles.
a.
11 380

;70 gallons of gas
220
g
b.
220 380

;24 gallons of gas
11
g
c.
11 380

;76 gallons of gas
220
g
d.
220 380

;19 gallons of gas
11
g
45. The figures are similar. Find x. Round your answer to the nearest tenth if necessary.
8 ft.
x
2 ft.
6 ft.
a. 2.7 ft.
b. 0.3 ft.
c. 1.5 ft.
d. 3 ft.
46. Two rectangles are similar. One has a length of 10 cm and a width of 9 cm, and the other has a width of 8
cm. Find the length of the second rectangle. Round your answer to the nearest tenth if necessary.
a. 8.9 cm
b. 6.7 cm
c. 7.2 cm
d. 10.2 cm
47. Use the scale and map measurements to find the actual distance from New Wilmington to Sharon through
Mercer. What is the actual distance if you travel from New Wilmington to Sharon through Volant?
Sharon
1.75 in
1.5 in
Mercer
New Wilmington
2.25 in
Scale 1 in : 12 miles
1.25 in
Volant
a. 58.5 mi & 63 mi
b. 39 mi & 42 mi
c. 19.5 mi & 21 mi
d. 78 mi & 84 mi
c. 4
d. 42
48. Sixty percent of what number is 21?
a. 30
b. 35
49. Susan earns a 4.5% commission on her computer sales. If she earned a $85.87 commission on a sale of a
new system, what was the price of the system?
a. $1908.22
b. $954.11
c. $190.82
d. $1335.76
b. 2.4
c. 1.2
d. 4.8
50. What is 0.24% of 500?
a. 12
51. Find the percent of change in altitude if a weather balloon moves from 178 ft. to 89 ft. Describe the percent
of change as an increase or decrease. Round you answer to the nearest tenth if necessary.
a. 42.5% decrease
b. 50% increase
c. 50% decrease
d. 118% increase
52. Find the domain and range of the relation.
a.
b.
c.
d.
domain: {24, 24, 35} range: {18, 29, 40, 45}
domain: {24, 35, 54} range: {18, 29, 45}
domain: {24, 35, 54} range: {18, 29, 40, 45}
domain: {24, 24, 35} range: {18, 29, 45}
Age of Person
54
35
24
24
53. Evaluate f(x) = -2x – 7 for x = -3
a. 1
b. -13
c. -1
d. 6
c. 6
d. -6
54. Evaluate f(x) = -2x2 – 2 for x = 2
a. -8
b. -10
55. What is the greatest value in the range of y = x2 – 7 for the domain {-2, 0, 1}
a. -7
b. 2
c. 3
56. Which of the following is the graph of the equation y = 2x – 1?
a.
b.
c.
d.
d. -3
Books Read
45
40
29
18
57. Write a function for the information shown in the table.
a. f(x) = 2x
b. f(x) = -2x
c. f(x) = x – 2
d. f(x) = x + 2
x
3
4
5
6
f(x)
-6
-8
-10
-12
58. Write an expression that gives the total cost (c) of p pounds of sugar if each pound costs $.54.
a. c(p) =
p
0.54
b. c(p) = p + 0.54
c. c(p) = 0.54p
d. c(p) = 54p
59. Crystal earns $4.75 per hour mowing lawns. Write an equation to describe how the amount of money (m)
earned is a function of the number of hours (h) spent mowing lawns AND then calculate how much Crystal
earns if she works 2 hours and 45 minutes?
a. m(t) = 2h + 45
$54.50
b. m(t) =
h
4.75
c. m(t) = 4.75h
$0.58
$13.06
d. m(t) = 4.75h
$11.64
60. Find the constant of variation k for the direct variation 7x = -5y
a. k = -5
b. k =
7
5
c. k = 
7
5
d. k = 
5
7
61. Find the constant of variation k for the information shown in the table.
x f(x)
1
3
a. k = -3
b. k = 3
4 12
5 15
c. k = 3.5
d. k = 0.3
7 21
62. Use inductive reasoning to describe the pattern in 6, 8, 10, 12, … Then find the next two numbers in the
pattern.
a. multiply the previous term by 2; 14, 48 b. add 2 to the previous term; 14, 16
c. subtract 2 from the previous term; 10, 8 d. multiply the previous term by 2; 24, 48
63. Find the common difference of the arithmetic sequence 1, 1
a. -4
b. 
1
4
c.
1
4
1
1
3
,1 ,1 ,…
4
2
4
d. 4
64. Find the first, fourth, and tenth terms of the arithmetic sequence described by \
A(n) = -5 + (n – 1)(4).
a. 0, 12, 36
b. 4, 11, 36
c. -5, 7, 31
d. -5, 11, 35
65. Find the slope of the line.
a. 
2
3
b. 
3
2
c.
2
3
d.
3
2
66. Find the slope of the line that passes through the pair of points (4, 6) and (9, -3).
a. 
5
9
b.
5
9
c.
9
5
d. 
67. A student finds the slope of the line between (2, 9) and (5, 14). She writes
9
5
9  14
. What mistake did she
52
make?
a.
b.
c.
d.
She used y-values where she should have used x-values.
She mixed up the x- and y-values.
She did not keep the order of the points the same in numerator and the denominator.
She should have added the values, not subtracted them.
68. Find the slope and the y-intercept of the line 8x + 16y = 16.
a.
1
;1
2
b. -2; 1
1
c.  ;1
2
69. Write the slope-intercept form of the equation for this line.
a. y =
7
1
x
6
2
c. y = 
7
1
x
6
2
b. y =
6
1
x
7
2
d. y =
6
1
x
7
2
1
d.  ;1
2
70. Write the slope-intercept form of the equation for the line.
a. y =
5
2
x
3
3
c. y = 
5
2
x
3
3
b. y = 
d. y =
3
2
x
5
3
2
5
x
3
3
71. Which of the following shows the graph for the equation y = -x – 4?
a.
b.
c.
d.
72. Find the x- and y-intercept of the line -5x – 3y = 120
a. (-3, 0) and (0, -5) b. (-5, 0) and (0, -3) c. (-40, 0) and (0, -24)
d. (-24, 0) and (0, -40)
73. Write y =
a.
3
x  3 in standard form.
8
-3x – 8y = 24
b. -3x + 8y = 24
c. 8x – 3y = 24
d. -3x + 8y = 3
74. Graph the equation y = -1.
a.
b.
c.
d.
75. Write the equation of a line that is perpendicular to -x + 10y = -11and passes through (10, 4).
a. y = 
1
x  50
10
b. y = 
76. Evaluate the formula V =
a. 288 in3
1
x  104
10
c. y = -10x + 104
d. y = 10x + 104
Bh
for B = 9 in2 and h = 32 in.
3
b. 9.6 in3
c. 32 in3
d. 96 in3
c. -9
d. 9
77. Solve -6y + 14 + 4y = 32.
a. 18
b. 1.8
78. Write the compound AND absolute value inequality that matches the graph shown below.
-10 -9
-8
-7
-6
a. -6 ≤ x ≤ 4
-5 -4
b. x ≥ -6 or x ≤ 4
|x - 1| ≤ 5
79. Solve the proportion
0
1
2
3
4
5
6
c. -6 ≤ x ≤ 4
|x + 5| ≤ 1
7
8
9
10
d. x ≥ -6 or x ≤ 4
|x + 1| ≤ 5
|x - 5| ≤ 1
2 11

10 x
a. 55
b. 2.2
80. Solve the proportion
a.
-3 -2 -1
c. 110
d. 1.8
21
2
d. 18
x 8 2

5
4
9
2
b.
5
2
c.
81. Draw a mapping diagram to represent the relation {(-8, -6), (-5, 2), (-8, 1), (7, 3)}. Then determine whether
the relation is a function.
a. function
-6
1
2
3
b. function
-8
-8
-5
7
-5
7
c. NOT a function
-6
1
2
3
-6
1
2
3
d. NOT a function
-8
-8
-5
7
-5
7
-6
1
2
3
82. Find the rate of change if you run 7 miles in one hour and 21 miles in three hours.
a. 3 miles per hour
b. 3 hours
c. 7 miles
d. 7 miles per hour
83. Write an equation for a line that passes through (2, -1) and (8, 4) in point-slope form. Then rewrite the
equation in standard form.
5
( x  2)
6
-5x + 6y = -16
a. y + 1 =
5
( x  2)
6
-5x + 6y = 16
b. y – 1 =
5
( x  2)
6
-5x + 6y = -16
c. y + 1 =
5
( x  1)
6
-5x + 6y = 17
d. y – 2 =
84. Write an equation in slope-intercept form for the line that is parallel to y =
3
x  9 and passes through
4
(-8, -18).
a. y =
3
11
x
4
2
b. y =
4
x  12
3
c. y =
3
x  12
4
4
d. y =  x  12
3
85. Determine if the lines 7x – 4y = 4 and x – 4y = 3 are parallel, perpendicular, or neither.
a. perpendicular
b. parallel
c. neither
1. B
2. B
3. C
4. D
5. D
6. A
7. D
8. B
9. A
10. C
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
D
A
C
D
A
D
D
B
B
B
21.
22.
23.
24.
25.
26.
27.
28.
29.
D
A
C
B
B
B
D
A
C
30. D
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
D
C
C
D
D
A
B
D
B
A
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
D
A
A
D
A
A
B
B
A
C
51.
52.
53.
54.
55.
56.
57.
C
C
C
A
D
D
B
58. C
59. C
60. C
61.
62.
63.
64.
65.
66.
67.
68.
69.
70.
B
B
C
C
B
D
C
C
A
C
71.
72.
73.
74.
75.
76.
77.
78.
79.
80.
C
D
B
B
C
D
C
C
A
C
81.
82.
83.
84.
85.
D
D
A
C
C